Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}.
Find:
i. A – B
ii. A – C
iii. A – D
iv. B – A
v. C – A
vi. D – A
vii. B – C
viii. B – D
A – B is defined as {x ϵ A : x ∉ B}
i. A – B is defined as {x ϵ A : x ∉ B}
A = {3, 6, 12, 15, 18, 21}
B = {4, 8, 12, 16, 20}
A – B = {3, 6, 15, 18, 21}
ii. A – C is defined as {x ϵ A : x ∉ C}
A = {3, 6, 12, 15, 18, 21}
C = {2, 4, 6, 8, 10, 12, 14, 16}
A – C = {3, 15, 18, 21}
iii. A – D is defined as {x ϵ A : x ∉ D}
A = {3, 6, 12, 15, 18, 21}
D = {5, 10, 15, 20}.
A – D = {3, 6, 12, 18, 21}
iv. B – A is defined as {x ϵ B : x ∉ A}
A = {3, 6, 12, 15, 18, 21}
B = {4, 8, 12, 16, 20}
B – A = {4, 8, 16, 20}
v. C – A is defined as {x ϵ C : x ∉ A}
A = {3, 6, 12, 15, 18, 21}
C = {2, 4, 6, 8, 10, 12, 14, 16}
C – A = {2, 4, 8, 10, 14, 16}
vi. D – A is defined as {x ϵ D : x ∉ A}
A = {3, 6, 12, 15, 18, 21}
D = {5, 10, 15, 20}.
D – A = {5, 10, 20}.
vii. B – C is defined as {x ϵ B : x ∉ C}
B = {4, 8, 12, 16, 20}
C = {2, 4, 6, 8, 10, 12, 14, 16}
B – C = {4, 8, 20}
viii. B – D is defined as {x ϵ B : x ∉ D}
B = {4, 8, 12, 16, 20}
D = {5, 10, 15, 20}
B – D = {4, 8, 12, 16}